{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# RL Traveling Salesman\n",
    "\n",
    "In this notebook, we implement a reinforcement learning approach to the traveling salesman problem. It is based on Q-learning and structure2vec graph embeddings."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "device(type='cpu')"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import torch\n",
    "import random\n",
    "import math\n",
    "from collections import namedtuple\n",
    "import os\n",
    "import time\n",
    "\n",
    "from scipy.spatial import distance_matrix\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.neighbors import NearestNeighbors\n",
    "from scipy.sparse import csr_matrix\n",
    "from scipy.sparse.csgraph import connected_components\n",
    "\n",
    "import torch\n",
    "import torch.nn as nn\n",
    "import torch.nn.functional as F\n",
    "import torch.optim as optim\n",
    "\n",
    "from scipy.signal import medfilt\n",
    "\n",
    "\"\"\" Note: the code is not optimized for GPU\n",
    "\"\"\"\n",
    "device = torch.device('cuda') if torch.cuda.is_available() else torch.device('cpu')\n",
    "device"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Create Graph Instances\n",
    "Below we implement a small method to generate random graph instances."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def get_graph_mat(n=10, size=1):\n",
    "    \"\"\" Throws n nodes uniformly at random on a square, and build a (fully connected) graph.\n",
    "        Returns the (N, 2) coordinates matrix, and the (N, N) matrix containing pairwise euclidean distances.\n",
    "    \"\"\"\n",
    "    coords = size * np.random.uniform(size=(n,2))\n",
    "    dist_mat = distance_matrix(coords, coords)\n",
    "    return coords, dist_mat\n",
    "\n",
    "def plot_graph(coords, mat):\n",
    "    \"\"\" Utility function to plot the fully connected graph\n",
    "    \"\"\"\n",
    "    n = len(coords)\n",
    "    \n",
    "    plt.scatter(coords[:,0], coords[:,1], s=[50 for _ in range(n)])\n",
    "    for i in range(n):\n",
    "        for j in range(n):\n",
    "            if j < i:\n",
    "                plt.plot([coords[i,0], coords[j,0]], [coords[i,1], coords[j,1]], 'b', alpha=0.7)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "coords, W_np = get_graph_mat(n=10)\n",
    "plot_graph(coords, W_np)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Define the state\n",
    "We now define the state tuple, containing a graph (given by a weights matrix `W`), the noode coordinates `coords` and the partial solution (list of visited nodes).\n",
    "We also define the function `state2tens`, which translates such tuples into tensors (partially loosing the sequence order information)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "State = namedtuple('State', ('W', 'coords', 'partial_solution'))\n",
    "  \n",
    "def state2tens(state):\n",
    "    \"\"\" Creates a Pytorch tensor representing the history of visited nodes, from a (single) state tuple.\n",
    "        \n",
    "        Returns a (Nx5) tensor, where for each node we store whether this node is in the sequence,\n",
    "        whether it is first or last, and its (x,y) coordinates.\n",
    "    \"\"\"\n",
    "    solution = set(state.partial_solution)\n",
    "    sol_last_node = state.partial_solution[-1] if len(state.partial_solution) > 0 else -1\n",
    "    sol_first_node = state.partial_solution[0] if len(state.partial_solution) > 0 else -1\n",
    "    coords = state.coords\n",
    "    nr_nodes = coords.shape[0]\n",
    "\n",
    "    xv = [[(1 if i in solution else 0),\n",
    "           (1 if i == sol_first_node else 0),\n",
    "           (1 if i == sol_last_node else 0),\n",
    "           coords[i,0],\n",
    "           coords[i,1]\n",
    "          ] for i in range(nr_nodes)]\n",
    "    \n",
    "    return torch.tensor(xv, dtype=torch.float32, requires_grad=False, device=device)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The Q-Function\n",
    "Below, we write the neural network that will parameterize the function Q(s, a)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "class QNet(nn.Module):\n",
    "    \"\"\" The neural net that will parameterize the function Q(s, a)\n",
    "    \n",
    "        The input is the state (containing the graph and visited nodes),\n",
    "        and the output is a vector of size N containing Q(s, a) for each of the N actions a.\n",
    "    \"\"\"    \n",
    "    \n",
    "    def __init__(self, emb_dim, T=4):\n",
    "        \"\"\" emb_dim: embedding dimension p\n",
    "            T: number of iterations for the graph embedding\n",
    "        \"\"\"\n",
    "        super(QNet, self).__init__()\n",
    "        self.emb_dim = emb_dim\n",
    "        self.T = T\n",
    "        \n",
    "        # We use 5 dimensions for representing the nodes' states:\n",
    "        # * A binary variable indicating whether the node has been visited\n",
    "        # * A binary variable indicating whether the node is the first of the visited sequence\n",
    "        # * A binary variable indicating whether the node is the last of the visited sequence\n",
    "        # * The (x, y) coordinates of the node.\n",
    "        self.node_dim = 5\n",
    "        \n",
    "        # We can have an extra layer after theta_1 (for the sake of example to make the network deeper)\n",
    "        nr_extra_layers_1 = 1\n",
    "        \n",
    "        # Build the learnable affine maps:\n",
    "        self.theta1 = nn.Linear(self.node_dim, self.emb_dim, True)\n",
    "        self.theta2 = nn.Linear(self.emb_dim, self.emb_dim, True)\n",
    "        self.theta3 = nn.Linear(self.emb_dim, self.emb_dim, True)\n",
    "        self.theta4 = nn.Linear(1, self.emb_dim, True)\n",
    "        self.theta5 = nn.Linear(2*self.emb_dim, 1, True)\n",
    "        self.theta6 = nn.Linear(self.emb_dim, self.emb_dim, True)\n",
    "        self.theta7 = nn.Linear(self.emb_dim, self.emb_dim, True)\n",
    "        \n",
    "        self.theta1_extras = [nn.Linear(self.emb_dim, self.emb_dim, True) for _ in range(nr_extra_layers_1)]\n",
    "        \n",
    "    def forward(self, xv, Ws):\n",
    "        # xv: The node features (batch_size, num_nodes, node_dim)\n",
    "        # Ws: The graphs (batch_size, num_nodes, num_nodes)\n",
    "        \n",
    "        num_nodes = xv.shape[1]\n",
    "        batch_size = xv.shape[0]\n",
    "        \n",
    "        # pre-compute 1-0 connection matrices masks (batch_size, num_nodes, num_nodes)\n",
    "        conn_matrices = torch.where(Ws > 0, torch.ones_like(Ws), torch.zeros_like(Ws)).to(device)\n",
    "        \n",
    "        # Graph embedding\n",
    "        # Note: we first compute s1 and s3 once, as they are not dependent on mu\n",
    "        mu = torch.zeros(batch_size, num_nodes, self.emb_dim, device=device)\n",
    "        s1 = self.theta1(xv)  # (batch_size, num_nodes, emb_dim)\n",
    "        for layer in self.theta1_extras:\n",
    "            s1 = layer(F.relu(s1))  # we apply the extra layer\n",
    "        \n",
    "        s3_1 = F.relu(self.theta4(Ws.unsqueeze(3)))  # (batch_size, nr_nodes, nr_nodes, emb_dim) - each \"weigth\" is a p-dim vector        \n",
    "        s3_2 = torch.sum(s3_1, dim=1)  # (batch_size, nr_nodes, emb_dim) - the embedding for each node\n",
    "        s3 = self.theta3(s3_2)  # (batch_size, nr_nodes, emb_dim)\n",
    "        \n",
    "        for t in range(self.T):\n",
    "            s2 = self.theta2(conn_matrices.matmul(mu))    \n",
    "            mu = F.relu(s1 + s2 + s3)\n",
    "            \n",
    "        \"\"\" prediction\n",
    "        \"\"\"\n",
    "        # we repeat the global state (summed over nodes) for each node, \n",
    "        # in order to concatenate it to local states later\n",
    "        global_state = self.theta6(torch.sum(mu, dim=1, keepdim=True).repeat(1, num_nodes, 1))\n",
    "        \n",
    "        local_action = self.theta7(mu)  # (batch_dim, nr_nodes, emb_dim)\n",
    "            \n",
    "        out = F.relu(torch.cat([global_state, local_action], dim=2))\n",
    "        return self.theta5(out).squeeze(dim=2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "model output: tensor([[-0.2231, -0.2231, -0.2231, -0.2231, -0.2242, -0.2233, -0.2231, -0.2231,\n",
      "         -0.2231, -0.2231]], grad_fn=<SqueezeBackward1>)\n"
     ]
    }
   ],
   "source": [
    "\"\"\" See what the model returns\n",
    "\"\"\"\n",
    "model = QNet(3, T=1).to(device)\n",
    "coords, W_np = get_graph_mat(n=10)\n",
    "W = torch.tensor(W_np, dtype=torch.float32, device=device)\n",
    "xv = torch.rand((1, W.shape[0], 5)).to(device) # random node state\n",
    "Ws = W.unsqueeze(0)\n",
    "\n",
    "y = model(xv, Ws)\n",
    "print('model output: {}'.format(y))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### A wrapper around the neural net\n",
    "Below, we define the class `QFunction`, which will act as a wrapper around the neural net `QNet`, and can manipulate TSP (partial) solutions and translate them to tensors."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "class QFunction():\n",
    "    def __init__(self, model, optimizer, lr_scheduler):\n",
    "        self.model = model  # The actual QNet\n",
    "        self.optimizer = optimizer\n",
    "        self.lr_scheduler = lr_scheduler\n",
    "        self.loss_fn = nn.MSELoss()\n",
    "    \n",
    "    def predict(self, state_tsr, W):\n",
    "        # batch of 1 - only called at inference time\n",
    "        with torch.no_grad():\n",
    "            estimated_rewards = self.model(state_tsr.unsqueeze(0), W.unsqueeze(0))\n",
    "        return estimated_rewards[0]\n",
    "                \n",
    "    def get_best_action(self, state_tsr, state):\n",
    "        \"\"\" Computes the best (greedy) action to take from a given state\n",
    "            Returns a tuple containing the ID of the next node and the corresponding estimated reward\n",
    "        \"\"\"\n",
    "        W = state.W\n",
    "        estimated_rewards = self.predict(state_tsr, W)  # size (nr_nodes,)\n",
    "        sorted_reward_idx = estimated_rewards.argsort(descending=True)\n",
    "        \n",
    "        solution = state.partial_solution\n",
    "        \n",
    "        already_in = set(solution)\n",
    "        for idx in sorted_reward_idx.tolist():\n",
    "            if (len(solution) == 0 or W[solution[-1], idx] > 0) and idx not in already_in:\n",
    "                return idx, estimated_rewards[idx].item()\n",
    "        \n",
    "    def batch_update(self, states_tsrs, Ws, actions, targets):\n",
    "        \"\"\" Take a gradient step using the loss computed on a batch of (states, Ws, actions, targets)\n",
    "        \n",
    "            states_tsrs: list of (single) state tensors\n",
    "            Ws: list of W tensors\n",
    "            actions: list of actions taken\n",
    "            targets: list of targets (resulting estimated rewards after taking the actions)\n",
    "        \"\"\"        \n",
    "        Ws_tsr = torch.stack(Ws).to(device)\n",
    "        xv = torch.stack(states_tsrs).to(device)\n",
    "        self.optimizer.zero_grad()\n",
    "        \n",
    "        # the rewards estimated by Q for the given actions\n",
    "        estimated_rewards = self.model(xv, Ws_tsr)[range(len(actions)), actions]\n",
    "        \n",
    "        loss = self.loss_fn(estimated_rewards, torch.tensor(targets, device=device))\n",
    "        loss_val = loss.item()\n",
    "        \n",
    "        loss.backward()\n",
    "        self.optimizer.step()        \n",
    "        self.lr_scheduler.step()\n",
    "        \n",
    "        return loss_val"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Define experiences & memory\n",
    "We'll now a tuple representing an experience, and the memory that contains such experiences.\n",
    "An experience is composed of a (state, action) tuple, and the corresponding \"next state\" and reward. The \"next state\" can be N step after the \"state\" in the case of N-step Q-learning. In experiences, we save states both in their tuple and tensor representations, in order to avoid computing these somewhat expensive translations after the experience has been stored.\n",
    "\n",
    "The `Memory` class implements a memory of limited size."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Note: we store state tensors in experience to compute these tensors only once later on\n",
    "Experience = namedtuple('Experience', ('state', 'state_tsr', 'action', 'reward', 'next_state', 'next_state_tsr'))\n",
    "\n",
    "class Memory(object):\n",
    "    def __init__(self, capacity):\n",
    "        self.capacity = capacity\n",
    "        self.memory = []\n",
    "        self.position = 0\n",
    "        self.nr_inserts = 0\n",
    "        \n",
    "    def remember(self, experience):\n",
    "        if len(self.memory) < self.capacity:\n",
    "            self.memory.append(None)\n",
    "        self.memory[self.position] = experience\n",
    "        self.position = (self.position + 1) % self.capacity\n",
    "        self.nr_inserts += 1\n",
    "        \n",
    "    def sample_batch(self, batch_size):\n",
    "        return random.sample(self.memory, batch_size)\n",
    "    \n",
    "    def __len__(self):\n",
    "        return min(self.nr_inserts, self.capacity)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Other useful things\n",
    "Below, we'll write a few more helper functions for computing solution length, deciding if a state is final and getting a next node at random from the graph."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "def total_distance(solution, W):\n",
    "    if len(solution) < 2:\n",
    "        return 0  # there is no travel\n",
    "    \n",
    "    total_dist = 0\n",
    "    for i in range(len(solution) - 1):\n",
    "        total_dist += W[solution[i], solution[i+1]].item()\n",
    "        \n",
    "    # if this solution is \"complete\", go back to initial point\n",
    "    if len(solution) == W.shape[0]:\n",
    "        total_dist += W[solution[-1], solution[0]].item()\n",
    "\n",
    "    return total_dist\n",
    "        \n",
    "def is_state_final(state):\n",
    "    return len(set(state.partial_solution)) == state.W.shape[0]\n",
    "\n",
    "def get_next_neighbor_random(state):\n",
    "    solution, W = state.partial_solution, state.W\n",
    "    \n",
    "    if len(solution) == 0:\n",
    "        return random.choice(range(W.shape[0]))\n",
    "    already_in = set(solution)\n",
    "    candidates = list(filter(lambda n: n.item() not in already_in, W[solution[-1]].nonzero()))\n",
    "    if len(candidates) == 0:\n",
    "        return None\n",
    "    return random.choice(candidates).item()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Training Code\n",
    "### Hyper-parameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "SEED = 1  # A seed for the random number generator\n",
    "\n",
    "# Graph\n",
    "NR_NODES = 10  # Number of nodes N\n",
    "EMBEDDING_DIMENSIONS = 5  # Embedding dimension D\n",
    "EMBEDDING_ITERATIONS_T = 1  # Number of embedding iterations T\n",
    "\n",
    "# Learning\n",
    "NR_EPISODES = 4001\n",
    "MEMORY_CAPACITY = 10000\n",
    "N_STEP_QL = 2  # Number of steps (n) in n-step Q-learning to wait before computing target reward estimate\n",
    "BATCH_SIZE = 16\n",
    "\n",
    "GAMMA = 0.9\n",
    "INIT_LR = 5e-3\n",
    "LR_DECAY_RATE = 1. - 2e-5  # learning rate decay\n",
    "\n",
    "MIN_EPSILON = 0.1\n",
    "EPSILON_DECAY_RATE = 6e-4  # epsilon decay\n",
    "\n",
    "FOLDER_NAME = './models'  # where to checkpoint the best models"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Model Initialization & checkpointing\n",
    "We will save our best models over the course of training - here we just define two functions for loading and checkpointing models"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "def init_model(fname=None):\n",
    "    \"\"\" Create a new model. If fname is defined, load the model from the specified file.\n",
    "    \"\"\"\n",
    "    Q_net = QNet(EMBEDDING_DIMENSIONS, T=EMBEDDING_ITERATIONS_T).to(device)\n",
    "    optimizer = optim.Adam(Q_net.parameters(), lr=INIT_LR)\n",
    "    lr_scheduler = optim.lr_scheduler.ExponentialLR(optimizer, gamma=LR_DECAY_RATE)\n",
    "    \n",
    "    if fname is not None:\n",
    "        checkpoint = torch.load(fname)\n",
    "        Q_net.load_state_dict(checkpoint['model'])\n",
    "        optimizer.load_state_dict(checkpoint['optimizer'])\n",
    "        lr_scheduler.load_state_dict(checkpoint['lr_scheduler'])\n",
    "    \n",
    "    Q_func = QFunction(Q_net, optimizer, lr_scheduler)\n",
    "    return Q_func, Q_net, optimizer, lr_scheduler\n",
    "\n",
    "def checkpoint_model(model, optimizer, lr_scheduler, loss, \n",
    "                     episode, avg_length):\n",
    "    if not os.path.exists(FOLDER_NAME):\n",
    "        os.makedirs(FOLDER_NAME)\n",
    "    \n",
    "    fname = os.path.join(FOLDER_NAME, 'ep_{}'.format(episode))\n",
    "    fname += '_length_{}'.format(avg_length)\n",
    "    fname += '.tar'\n",
    "    \n",
    "    torch.save({\n",
    "        'episode': episode,\n",
    "        'model': model.state_dict(),\n",
    "        'optimizer': optimizer.state_dict(),\n",
    "        'lr_scheduler': lr_scheduler.state_dict(),\n",
    "        'loss': loss,\n",
    "        'avg_length': avg_length\n",
    "    }, fname)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Training Loop\n",
    "The code below is slightly more complex than the version appearing in the blog article. Notably, here in several places we maintain states represented both as tuples and tensors. We cache the tensor versions in order to avoid re-computing them many times. Also different from the article, the version below implements a version of n-step Q-learning, it checkpoints the best models (according to the median path length), and prints some information."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# seed everything for reproducible results first:\n",
    "torch.manual_seed(SEED)\n",
    "np.random.seed(SEED)\n",
    "random.seed(SEED)\n",
    "\n",
    "# Create module, optimizer, LR scheduler, and Q-function\n",
    "Q_func, Q_net, optimizer, lr_scheduler = init_model()\n",
    "\n",
    "# Create memory\n",
    "memory = Memory(MEMORY_CAPACITY)\n",
    "\n",
    "# Storing metrics about training:\n",
    "found_solutions = dict()  # episode --> (coords, W, solution)\n",
    "losses = []\n",
    "path_lengths = []\n",
    "\n",
    "# keep track of median path length for model checkpointing\n",
    "current_min_med_length = float('inf')\n",
    "\n",
    "for episode in range(NR_EPISODES):\n",
    "    # sample a new random graph\n",
    "    coords, W_np = get_graph_mat(n=NR_NODES)\n",
    "    W = torch.tensor(W_np, dtype=torch.float32, requires_grad=False, device=device)\n",
    "    \n",
    "    # current partial solution - a list of node index\n",
    "    solution = [random.randint(0, NR_NODES-1)]\n",
    "    \n",
    "    # current state (tuple and tensor)\n",
    "    current_state = State(partial_solution=solution, W=W, coords=coords)\n",
    "    current_state_tsr = state2tens(current_state)\n",
    "    \n",
    "    # Keep track of some variables for insertion in replay memory:\n",
    "    states = [current_state]\n",
    "    states_tsrs = [current_state_tsr]  # we also keep the state tensors here (for efficiency)\n",
    "    rewards = []\n",
    "    actions = []\n",
    "    \n",
    "    # current value of epsilon\n",
    "    epsilon = max(MIN_EPSILON, (1-EPSILON_DECAY_RATE)**episode)\n",
    "    \n",
    "    nr_explores = 0\n",
    "    t = -1\n",
    "    while not is_state_final(current_state):\n",
    "        t += 1  # time step of this episode\n",
    "        \n",
    "        if epsilon >= random.random():\n",
    "            # explore\n",
    "            next_node = get_next_neighbor_random(current_state)\n",
    "            nr_explores += 1\n",
    "        else:\n",
    "            # exploit\n",
    "            next_node, est_reward = Q_func.get_best_action(current_state_tsr, current_state)\n",
    "            if episode % 50 == 0:\n",
    "                print('Ep {} | current sol: {} / next est reward: {}'.format(episode, solution, est_reward))\n",
    "        \n",
    "        next_solution = solution + [next_node]\n",
    "        \n",
    "        # reward observed for taking this step        \n",
    "        reward = -(total_distance(next_solution, W) - total_distance(solution, W))\n",
    "        \n",
    "        next_state = State(partial_solution=next_solution, W=W, coords=coords)\n",
    "        next_state_tsr = state2tens(next_state)\n",
    "        \n",
    "        # store rewards and states obtained along this episode:\n",
    "        states.append(next_state)\n",
    "        states_tsrs.append(next_state_tsr)\n",
    "        rewards.append(reward)\n",
    "        actions.append(next_node)\n",
    "        \n",
    "        # store our experience in memory, using n-step Q-learning:\n",
    "        if len(solution) >= N_STEP_QL:\n",
    "            memory.remember(Experience(state=states[-N_STEP_QL],\n",
    "                                       state_tsr=states_tsrs[-N_STEP_QL],\n",
    "                                       action=actions[-N_STEP_QL],\n",
    "                                       reward=sum(rewards[-N_STEP_QL:]),\n",
    "                                       next_state=next_state,\n",
    "                                       next_state_tsr=next_state_tsr))\n",
    "            \n",
    "        if is_state_final(next_state):\n",
    "            for n in range(1, N_STEP_QL):\n",
    "                memory.remember(Experience(state=states[-n],\n",
    "                                           state_tsr=states_tsrs[-n], \n",
    "                                           action=actions[-n], \n",
    "                                           reward=sum(rewards[-n:]), \n",
    "                                           next_state=next_state,\n",
    "                                           next_state_tsr=next_state_tsr))\n",
    "        \n",
    "        # update state and current solution\n",
    "        current_state = next_state\n",
    "        current_state_tsr = next_state_tsr\n",
    "        solution = next_solution\n",
    "        \n",
    "        # take a gradient step\n",
    "        loss = None\n",
    "        if len(memory) >= BATCH_SIZE and len(memory) >= 2000:\n",
    "            experiences = memory.sample_batch(BATCH_SIZE)\n",
    "            \n",
    "            batch_states_tsrs = [e.state_tsr for e in experiences]\n",
    "            batch_Ws = [e.state.W for e in experiences]\n",
    "            batch_actions = [e.action for e in experiences]\n",
    "            batch_targets = []\n",
    "            \n",
    "            for i, experience in enumerate(experiences):\n",
    "                target = experience.reward\n",
    "                if not is_state_final(experience.next_state):\n",
    "                    _, best_reward = Q_func.get_best_action(experience.next_state_tsr, \n",
    "                                                            experience.next_state)\n",
    "                    target += GAMMA * best_reward\n",
    "                batch_targets.append(target)\n",
    "                \n",
    "            # print('batch targets: {}'.format(batch_targets))\n",
    "            loss = Q_func.batch_update(batch_states_tsrs, batch_Ws, batch_actions, batch_targets)\n",
    "            losses.append(loss)\n",
    "            \n",
    "            \"\"\" Save model when we reach a new low average path length\n",
    "            \"\"\"\n",
    "            med_length = np.median(path_lengths[-100:])\n",
    "            if med_length < current_min_med_length:\n",
    "                current_min_med_length = med_length\n",
    "                checkpoint_model(Q_net, optimizer, lr_scheduler, loss, episode, med_length)\n",
    "                \n",
    "    length = total_distance(solution, W)\n",
    "    path_lengths.append(length)\n",
    "\n",
    "    if episode % 10 == 0:\n",
    "        print('Ep %d. Loss = %.3f / median length = %.3f / last = %.4f / epsilon = %.4f / lr = %.4f' % (\n",
    "            episode, (-1 if loss is None else loss), np.median(path_lengths[-50:]), length, epsilon,\n",
    "            Q_func.optimizer.param_groups[0]['lr']))\n",
    "        found_solutions[episode] = (W.clone(), coords.copy(), [n for n in solution])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Inspect Training Metrics\n",
    "Let's look at the (moving averages of) loss and path length over training."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'episode')"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def _moving_avg(x, N=10):\n",
    "    return np.convolve(np.array(x), np.ones((N,))/N, mode='valid')\n",
    "\n",
    "plt.figure(figsize=(8,5))\n",
    "plt.semilogy(_moving_avg(losses, 100))\n",
    "plt.ylabel('loss')\n",
    "plt.xlabel('training iteration')\n",
    "\n",
    "plt.figure(figsize=(8,5))\n",
    "plt.plot(_moving_avg(path_lengths, 100))\n",
    "plt.ylabel('average length')\n",
    "plt.xlabel('episode')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Re-run Best Model and Look at Paths"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "shortest avg length found: 3.919326663017273\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "\"\"\" Get file with smallest distance\n",
    "\"\"\"\n",
    "all_lengths_fnames = [f for f in os.listdir(FOLDER_NAME) if f.endswith('.tar')]\n",
    "shortest_fname = sorted(all_lengths_fnames, key=lambda s: float(s.split('.tar')[0].split('_')[-1]))[0]\n",
    "print('shortest avg length found: {}'.format(shortest_fname.split('.tar')[0].split('_')[-1]))\n",
    "\n",
    "\"\"\" Load checkpoint\n",
    "\"\"\"\n",
    "Q_func, Q_net, optimizer, lr_scheduler = init_model(os.path.join(FOLDER_NAME, shortest_fname))\n",
    "\n",
    "\"\"\" A function to plot solutions\n",
    "\"\"\"\n",
    "def plot_solution(coords, mat, solution):\n",
    "    plt.scatter(coords[:,0], coords[:,1])\n",
    "    n = len(coords)\n",
    "    \n",
    "    for idx in range(n-1):\n",
    "        i, next_i = solution[idx], solution[idx+1]\n",
    "        plt.plot([coords[i, 0], coords[next_i, 0]], [coords[i, 1], coords[next_i, 1]], 'k', lw=2, alpha=0.8)\n",
    "    \n",
    "    i, next_i = solution[-1], solution[0]\n",
    "    plt.plot([coords[i, 0], coords[next_i, 0]], [coords[i, 1], coords[next_i, 1]], 'k', lw=2, alpha=0.8)\n",
    "    plt.plot(coords[solution[0], 0], coords[solution[0], 1], 'x', markersize=10)\n",
    "\n",
    "\n",
    "    \n",
    "\"\"\" Generate example solutions\n",
    "\"\"\"\n",
    "NR_NODES = 10\n",
    "for sample in range(10):\n",
    "    coords, W_np = get_graph_mat(n=NR_NODES)\n",
    "    W = torch.tensor(W_np, dtype=torch.float32, requires_grad=False, device=device)\n",
    "    \n",
    "    solution = [random.randint(0, NR_NODES-1)]\n",
    "    current_state = State(partial_solution=solution, W=W, coords=coords)\n",
    "    current_state_tsr = state2tens(current_state)\n",
    "    \n",
    "    while not is_state_final(current_state):\n",
    "        next_node, est_reward = Q_func.get_best_action(current_state_tsr, \n",
    "                                                       current_state)\n",
    "        \n",
    "        \n",
    "        solution = solution + [next_node]\n",
    "        current_state = State(partial_solution=solution, W=W, coords=coords)\n",
    "        current_state_tsr = state2tens(current_state)\n",
    "        \n",
    "    plt.figure()\n",
    "    plot_solution(coords, W, solution)\n",
    "    plt.title('model / len = {}'.format(total_distance(solution, W)))\n",
    "    \n",
    "    # for comparison, plot a random solution\n",
    "    plt.figure()\n",
    "    random_solution = list(range(NR_NODES))\n",
    "    plot_solution(coords, W, random_solution)\n",
    "    plt.title('random / len = {}'.format(total_distance(random_solution, W)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
